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Finding the Fourth Proportional to 318,397.87, 477,485.92 and 105,120.19

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Solution

The fourth proportional to 318,397.87, 477,485.92 and 105,120.19 is: 157,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,397.87 : 477,485.92 = 105,120.19 : x
  2. Step 2: Convert to fraction form
    318,397.87/477,485.92 = 105,120.19/x
  3. Step 3: Cross multiply
    318,397.87x = 477,485.92 × 105,120.19
  4. Step 4: Simplify right side
    318,397.87x = 50,193,410,632.72
  5. Step 5: Solve for x
    x = 50,193,410,632.72/318,397.87
  6. Step 6: Final answer
    x = 157,643.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.